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Finding the Fourth Proportional to 32,903.50, 45,407.91 and 17,999.50

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Solution

The fourth proportional to 32,903.50, 45,407.91 and 17,999.50 is: 24,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,903.50 : 45,407.91 = 17,999.50 : x
  2. Step 2: Convert to fraction form
    32,903.50/45,407.91 = 17,999.50/x
  3. Step 3: Cross multiply
    32,903.50x = 45,407.91 × 17,999.50
  4. Step 4: Simplify right side
    32,903.50x = 817,319,676.05
  5. Step 5: Solve for x
    x = 817,319,676.05/32,903.50
  6. Step 6: Final answer
    x = 24,839.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.